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Unformatted text preview: 2-1 Part I: PolynomialsExample polynomial:3x2- 2x + 13 terms:quadraticlinearconstantleadingcoeff.3 x 2-2 x+1coefficient ofdegree ofcoefficient ofquadratic termpolynomiallinear termleading term: term of highest degree; here it is 3x2degree: degree of leading termThe tailsof the graph of a polynomial:2-1 Part Ip. 1Polynomial Tail Principle: for a polynomial, the tails will always go to +∞or -∞,ANDtail behavior will be dictated by the leading term, as follows:leading coefficientleading term:+-evenexample: 3x4left tail +∞right tail +∞picture:example: -3x4left tail -∞right tail -∞picture:oddexample: 3x3left tail -∞right tail +∞picture:example: -3x3left tail +∞right tail -∞picture:Summary: evenleading term: tails go same direction (↑for +, ↓for -)oddleading term: tails go opposite (↓↑for +, ↑↓for -)Example: f(x) = -7x2- 3x4+ 7leading term: -3x4even: go same direction coeff is -: direction is down (↓↓)2-1 Part Ip. 2Some example polynomials:...
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This note was uploaded on 12/11/2011 for the course MATH 1324 taught by Professor Staff during the Spring '11 term at Austin Community College.
- Spring '11